In a Dictator game, the player who makes the decision is called the "Dictator" and the other player is called the "Recipient." The Dictator decides how much of an amount of money to offer to the Recipient. Consider a situation where the Dictator has $100 to split between herself and the Recipient. would a a. How much money in the envelope and why? b. What is the typical pattern of behavior in laboratory dictator games? person who is purely selfish and rational leave Now suppose the dictator's preferences are given by the utility function U(x. XR), where XD is the amount of money the dictator keeps and x, the amount of money given to the recipient. c. Draw the budget set for the dictator, with xp on the x-axis and x, on the y- axis. d. Suppose Up(xD. XR) = min (XD. XR). What amount of money will the Dictator offer to the Recipient? Draw an example of the dictator's indifference curve through the point that the Dictator will choose.